Finding the Third Proportional to 10,649.63 and 14,893.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,649.63 : 14,893.88 = 14,893.88 : x
2. Step 2: Convert to fraction form
   10,649.63/14,893.88 = 14,893.88/x
3. Step 3: Cross multiply
   10,649.63x = 14,893.88 × 14,893.88
4. Step 4: Simplify right side
   10,649.63x = 221,827,512.52
5. Step 5: Solve for x
   x = 221,827,512.52/10,649.63
6. Step 6: Final answer
   x = 20,829.61